1. What is Gravity Acceleration?

Gravity acceleration (g) is the acceleration experienced by an object due to the gravitational force of a massive body. It describes how quickly an object's velocity changes when falling freely under gravity's influence.

2. How Does the Calculator Work?

The calculator uses the universal gravity acceleration equation:

Where:

• \( g \) — Gravity acceleration (m/s²)
• \( G \) — Gravitational constant (6.67430 × 10⁻¹¹ m³ kg⁻¹ s⁻²)
• \( M \) — Mass of the celestial body (kg)
• \( r \) — Distance from center of mass (m)

Explanation: This formula calculates the gravitational acceleration at a specific distance from a massive object's center, based on Newton's law of universal gravitation.

3. Importance of Gravity Calculation

Details: Calculating gravity acceleration is essential for space missions, satellite orbits, planetary science, and understanding fundamental physics principles. It helps determine orbital velocities, escape velocities, and gravitational forces.

4. Using the Calculator

Tips: Enter the gravitational constant (pre-filled with standard value), mass of the celestial body in kilograms, and distance from center in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is Earth's gravity acceleration at surface?
A: Approximately 9.8 m/s², calculated using Earth's mass (5.972 × 10²⁴ kg) and radius (6.371 × 10⁶ m).

Q2: Why does gravity decrease with distance?
A: Gravity follows an inverse-square law - doubling the distance reduces gravity to one-quarter of its original strength.

Q3: What is the gravitational constant value?
A: G = 6.67430 × 10⁻¹¹ m³ kg⁻¹ s⁻², one of the fundamental constants of nature.

Q4: How does mass affect gravity acceleration?
A: Greater mass produces stronger gravitational acceleration, as g is directly proportional to mass M.

Q5: Can this calculate gravity on other planets?
A: Yes, simply input the planet's mass and radius to calculate surface gravity for any celestial body.